Highest Common Factor of 6016, 9199 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6016, 9199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6016, 9199 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6016, 9199 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6016, 9199 is 1.
HCF(6016, 9199) = 1
HCF of 6016, 9199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6016, 9199 is 1.
Highest Common Factor of 6016,9199 is 1
Step 1: Since 9199 > 6016, we apply the division lemma to 9199 and 6016, to get
9199 = 6016 x 1 + 3183
Step 2: Since the reminder 6016 ≠ 0, we apply division lemma to 3183 and 6016, to get
6016 = 3183 x 1 + 2833
Step 3: We consider the new divisor 3183 and the new remainder 2833, and apply the division lemma to get
3183 = 2833 x 1 + 350
We consider the new divisor 2833 and the new remainder 350,and apply the division lemma to get
2833 = 350 x 8 + 33
We consider the new divisor 350 and the new remainder 33,and apply the division lemma to get
350 = 33 x 10 + 20
We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get
33 = 20 x 1 + 13
We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get
20 = 13 x 1 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6016 and 9199 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(350,33) = HCF(2833,350) = HCF(3183,2833) = HCF(6016,3183) = HCF(9199,6016) .
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Frequently Asked Questions on HCF of 6016, 9199 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6016, 9199?
Answer: HCF of 6016, 9199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6016, 9199 using Euclid's Algorithm?
Answer: For arbitrary numbers 6016, 9199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.